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224056112 = 24713115271
BaseRepresentation
bin11010101101011…
…01001100110000
3120121121020012112
431112231030300
5424324243422
634122144452
75360305550
oct1526551460
9517536175
10224056112
11105523745
1263052128
133755a9a7
1421a85160
1514a0bee2
hexd5ad330

224056112 has 40 divisors (see below), whose sum is σ = 499944192. Its totient is φ = 95284800.

The previous prime is 224056109. The next prime is 224056121. The reversal of 224056112 is 211650422.

It is a happy number.

224056112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2240561122 = 100402282649113088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7037 + ... + 22307.

Almost surely, 2224056112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224056112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249972096).

224056112 is an abundant number, since it is smaller than the sum of its proper divisors (275888080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224056112 is a wasteful number, since it uses less digits than its factorization.

224056112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15417 (or 15411 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 224056112 is about 14968.5040000663. The cubic root of 224056112 is about 607.3685011772.

The spelling of 224056112 in words is "two hundred twenty-four million, fifty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1834 2096 3668 7336 14672 15271 30542 61084 106897 122168 213794 244336 427588 855176 1710352 2000501 4001002 8002004 14003507 16004008 28007014 32008016 56014028 112028056 224056112